{"id":88738,"date":"2025-08-10T13:45:11","date_gmt":"2025-08-10T04:45:11","guid":{"rendered":"https:\/\/adtechmanagement.com\/minnadepr-column\/?p=88738"},"modified":"2025-08-10T13:45:11","modified_gmt":"2025-08-10T04:45:11","slug":"normal-vector","status":"publish","type":"post","link":"https:\/\/adtechmanagement.com\/minnadepr-column\/2025\/08\/10\/normal-vector\/","title":{"rendered":"\u6cd5\u7dda\u3068\u306f\uff1f\u610f\u5473\u30fb\u6c42\u3081\u65b9\u30fb\u6570\u5b66\u3084\u7269\u7406\u3067\u306e\u6d3b\u7528\u4f8b\u3092\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac"},"content":{"rendered":"

\u6cd5\u7dda\u306f\u6570\u5b66\u3084\u7269\u7406\u5b66\u3001\u3055\u3089\u306b\u306f3DCG\u3084\u5de5\u5b66\u306a\u3069\u5e45\u5e83\u3044\u5206\u91ce\u3067\u767b\u5834\u3059\u308b\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3059\u3002\u76f4\u7dda\u3084\u66f2\u7dda\u3001\u5e73\u9762\u306b\u5bfe\u3057\u3066\u5782\u76f4\u306a\u65b9\u5411\u3092\u793a\u3059\u30d9\u30af\u30c8\u30eb\u3084\u7dda\u3092\u610f\u5473\u3057\u3001\u8a08\u7b97\u3084\u8a2d\u8a08\u306e\u57fa\u790e\u3068\u306a\u308a\u307e\u3059\u3002\u672c\u8a18\u4e8b\u3067\u306f\u6cd5\u7dda\u306e\u610f\u5473\u3001\u6c42\u3081\u65b9\u3001\u4f8b\u984c\u3001\u6d3b\u7528\u4f8b\u307e\u3067\u8a73\u3057\u304f\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n

1. \u6cd5\u7dda\u306e\u57fa\u672c\u7684\u306a\u610f\u5473<\/h2>\n

\u6cd5\u7dda\u3068\u306f\u3001\u3042\u308b\u66f2\u7dda\u3084\u66f2\u9762\u306b\u304a\u3051\u308b\u63a5\u7dda\u306b\u5bfe\u3057\u3066\u5782\u76f4\u306a\u76f4\u7dda\u3084\u30d9\u30af\u30c8\u30eb\u306e\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u5e73\u9762\u3084\u7a7a\u9593\u5185\u3067\u306e\u4f4d\u7f6e\u3084\u5411\u304d\u3092\u8868\u3059\u969b\u306b\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002<\/p>\n

1-1. \u5e7e\u4f55\u5b66\u3067\u306e\u5b9a\u7fa9<\/h3>\n

\u5e7e\u4f55\u5b66\u306b\u304a\u3044\u3066\u3001\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u63a5\u7dda\u3068\u76f4\u4ea4\u3059\u308b\u76f4\u7dda\u3092\u6cd5\u7dda\u3068\u547c\u3073\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u5186\u306e\u4e2d\u5fc3\u3068\u5186\u5468\u4e0a\u306e\u70b9\u3092\u7d50\u3076\u534a\u5f84\u306f\u3001\u305d\u306e\u70b9\u306b\u304a\u3051\u308b\u6cd5\u7dda\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

1-2. \u30d9\u30af\u30c8\u30eb\u3068\u3057\u3066\u306e\u6cd5\u7dda<\/h3>\n

\u30d9\u30af\u30c8\u30eb\u306e\u89b3\u70b9\u304b\u3089\u306f\u3001\u63a5\u30d9\u30af\u30c8\u30eb\u306b\u76f4\u4ea4\u3059\u308b\u30d9\u30af\u30c8\u30eb\u3092\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u3068\u547c\u3073\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u65b9\u5411\u3084\u5927\u304d\u3055\u3092\u660e\u78ba\u306b\u8868\u73fe\u3067\u304d\u307e\u3059\u3002<\/p>\n

2. \u6cd5\u7dda\u306e\u8a9e\u6e90\u3068\u7531\u6765<\/h2>\n

\u6cd5\u7dda\u3068\u3044\u3046\u8a00\u8449\u306f\u3001\u300c\u6cd5\u300d\u304c\u57fa\u6e96\u3084\u898f\u7bc4\u3092\u610f\u5473\u3057\u3001\u300c\u7dda\u300d\u304c\u76f4\u7dda\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u57fa\u6e96\u3068\u306a\u308b\u5782\u76f4\u65b9\u5411\u306e\u7dda\u3068\u3044\u3046\u610f\u5473\u5408\u3044\u304b\u3089\u3053\u306e\u540d\u79f0\u304c\u3064\u3051\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n

2-1. \u82f1\u8a9e\u8868\u73fe<\/h3>\n

\u82f1\u8a9e\u3067\u306f\u300cnormal line\u300d\u3084\u300cnormal vector\u300d\u3068\u8868\u73fe\u3055\u308c\u307e\u3059\u3002\u7279\u306b3D\u30e2\u30c7\u30ea\u30f3\u30b0\u3084\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u306e\u5206\u91ce\u3067\u306f\u300cnormal\u300d\u3068\u3044\u3046\u7565\u79f0\u3067\u4f7f\u308f\u308c\u307e\u3059\u3002<\/p>\n

2-2. \u6b74\u53f2\u7684\u80cc\u666f<\/h3>\n

\u6cd5\u7dda\u306e\u6982\u5ff5\u306f\u53e4\u4ee3\u30ae\u30ea\u30b7\u30e3\u306e\u5e7e\u4f55\u5b66\u304b\u3089\u5b58\u5728\u3057\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u3084\u30ac\u30a6\u30b9\u306e\u7814\u7a76\u306b\u3088\u308a\u89e3\u6790\u7684\u306a\u6271\u3044\u304c\u767a\u5c55\u3057\u307e\u3057\u305f\u3002<\/p>\n

3. \u6cd5\u7dda\u306e\u6c42\u3081\u65b9<\/h2>\n

3-1. \u76f4\u7dda\u306b\u5bfe\u3059\u308b\u6cd5\u7dda<\/h3>\n

\u76f4\u7dda\u306e\u50be\u304d\u304cm\u306e\u5834\u5408\u3001\u305d\u306e\u6cd5\u7dda\u306e\u50be\u304d\u306f-m\u306e\u9006\u6570\u3068\u306a\u308a\u307e\u3059\u3002y=mx+b\u306e\u6cd5\u7dda\u306f\u3001\u50be\u304d\u304c-1\/m\u306e\u76f4\u7dda\u3067\u3059\u3002<\/p>\n

3-2. \u66f2\u7dda\u306b\u5bfe\u3059\u308b\u6cd5\u7dda<\/h3>\n

\u66f2\u7dday=f(x)\u306ex=a\u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u50be\u304d\u306ff'(a)\u3067\u3059\u3002\u305d\u306e\u6cd5\u7dda\u306e\u50be\u304d\u306f-1\/f'(a)\u3068\u306a\u308a\u3001\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u50be\u304d\u3068\u901a\u308b\u70b9\u3092\u7528\u3044\u3066\u6c42\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n

3-3. \u5e73\u9762\u306b\u5bfe\u3059\u308b\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb<\/h3>\n

\u5e73\u9762Ax+By+Cz=D\u3067\u306f\u3001\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306f(A,B,C)\u3067\u3059\u3002\u3053\u306e\u30d9\u30af\u30c8\u30eb\u306f\u5e73\u9762\u306b\u5782\u76f4\u306a\u65b9\u5411\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n

3-4. \u5916\u7a4d\u3092\u7528\u3044\u305f\u6cd5\u7dda\u8a08\u7b97<\/h3>\n

3\u6b21\u5143\u7a7a\u9593\u30672\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u305d\u308c\u3089\u306e\u5916\u7a4d\u3092\u53d6\u308b\u3053\u3068\u3067\u4e21\u65b9\u306b\u5782\u76f4\u306a\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n

4. \u6cd5\u7dda\u306e\u6027\u8cea<\/h2>\n

4-1. \u5782\u76f4\u6027<\/h3>\n

\u6cd5\u7dda\u306f\u5e38\u306b\u63a5\u7dda\u3084\u63a5\u5e73\u9762\u3068\u76f4\u4ea4\u3057\u307e\u3059\u3002\u3053\u306e\u6027\u8cea\u306b\u3088\u308a\u3001\u5ea7\u6a19\u8a08\u7b97\u3084\u30d9\u30af\u30c8\u30eb\u89e3\u6790\u3067\u306e\u5229\u7528\u304c\u5bb9\u6613\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

4-2. \u4e00\u610f\u6027<\/h3>\n

\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u6cd5\u7dda\u306f\u65b9\u5411\u304c2\u901a\u308a\uff08\u6b63\u65b9\u5411\u3068\u9006\u65b9\u5411\uff09\u3042\u308a\u307e\u3059\u304c\u3001\u305d\u306e\u65b9\u5411\u6027\u3092\u898f\u5b9a\u3059\u308c\u3070\u4e00\u610f\u306b\u6c7a\u307e\u308a\u307e\u3059\u3002<\/p>\n

4-3. \u6cd5\u7dda\u9577<\/h3>\n

\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306f\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u306b\u6b63\u898f\u5316\u3057\u3066\u4f7f\u3046\u3053\u3068\u304c\u591a\u304f\u3001\u3053\u308c\u306b\u3088\u308a\u8a08\u7b97\u3084\u63cf\u753b\u3067\u6271\u3044\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n

5. \u6cd5\u7dda\u306e\u6d3b\u7528\u4f8b<\/h2>\n

5-1. \u6570\u5b66\u306e\u554f\u984c\u89e3\u6cd5<\/h3>\n

\u63a5\u7dda\u3068\u6cd5\u7dda\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u554f\u984c\u306f\u9ad8\u6821\u6570\u5b66\u306e\u983b\u51fa\u5206\u91ce\u3067\u3059\u3002\u63a5\u7dda\u306e\u50be\u304d\u304b\u3089\u6cd5\u7dda\u3092\u5c0e\u304d\u3001\u4ea4\u70b9\u3084\u8ddd\u96e2\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n

5-2. \u7269\u7406\u5b66\u3067\u306e\u5229\u7528<\/h3>\n

\u529b\u5b66\u3067\u306f\u3001\u7269\u4f53\u306b\u50cd\u304f\u5782\u76f4\u6297\u529b\uff08\u6cd5\u7dda\u65b9\u5411\u306e\u529b\uff09\u3092\u6c42\u3081\u308b\u969b\u306b\u6cd5\u7dda\u306e\u6982\u5ff5\u304c\u4f7f\u308f\u308c\u307e\u3059\u3002<\/p>\n

5-3. \u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9<\/h3>\n

3DCG\u3067\u306f\u3001\u5149\u306e\u53cd\u5c04\u3084\u9670\u5f71\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u6cd5\u7dda\u306e\u65b9\u5411\u306b\u3088\u3063\u3066\u5149\u6ca2\u3084\u5f71\u306e\u4ed8\u304d\u65b9\u304c\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n

5-4. \u5de5\u5b66\u8a2d\u8a08<\/h3>\n

\u88fd\u56f3\u3084CAD\u8a2d\u8a08\u306b\u304a\u3044\u3066\u3001\u90e8\u54c1\u306e\u89d2\u5ea6\u3084\u5782\u76f4\u6027\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u6cd5\u7dda\u304c\u5229\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n

6. \u6cd5\u7dda\u8a08\u7b97\u306e\u4f8b\u984c<\/h2>\n

6-1. \u66f2\u7dday=x\u00b2\u306b\u304a\u3051\u308b\u6cd5\u7dda<\/h3>\n

x=1\u3067\u306e\u63a5\u7dda\u306e\u50be\u304d\u306ff'(1)=2\u3067\u3059\u3002\u6cd5\u7dda\u306e\u50be\u304d\u306f-1\/2\u3067\u3001\u70b9(1,1)\u3092\u901a\u308b\u305f\u3081\u65b9\u7a0b\u5f0f\u306fy-1=-(1\/2)(x-1)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

6-2. \u5e73\u9762x+2y+3z=6\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb<\/h3>\n

\u4fc2\u6570(1,2,3)\u304c\u305d\u306e\u307e\u307e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

7. \u6cd5\u7dda\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u30dd\u30a4\u30f3\u30c8<\/h2>\n

7-1. \u63a5\u7dda\u3068\u306e\u95a2\u4fc2\u3092\u610f\u8b58\u3059\u308b<\/h3>\n

\u6cd5\u7dda\u306f\u5fc5\u305a\u63a5\u7dda\u3084\u63a5\u5e73\u9762\u3068\u5782\u76f4\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u95a2\u4fc2\u3092\u56f3\u793a\u3057\u3066\u7406\u89e3\u3059\u308b\u3068\u899a\u3048\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n

7-2. \u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u3092\u7fd2\u5f97\u3059\u308b<\/h3>\n

\u5916\u7a4d\u3084\u5185\u7a4d\u3092\u7406\u89e3\u3059\u308c\u3070\u3001\u6cd5\u7dda\u306e\u8a08\u7b97\u304c\u683c\u6bb5\u306b\u697d\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

7-3. \u5358\u4f4d\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306e\u6d3b\u7528<\/h3>\n

\u7269\u7406\u3084CG\u3067\u306e\u8a08\u7b97\u3067\u306f\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u304c\u4fbf\u5229\u3067\u3059\u3002\u6b63\u898f\u5316\u306e\u8a08\u7b97\u306b\u6163\u308c\u3066\u304a\u304f\u3068\u5fdc\u7528\u304c\u52b9\u304d\u307e\u3059\u3002<\/p>\n

8. \u307e\u3068\u3081<\/h2>\n

\u6cd5\u7dda\u306f\u6570\u5b66\u30fb\u7269\u7406\u30fb\u5de5\u5b66\u30fbCG\u306a\u3069\u5e45\u5e83\u3044\u5206\u91ce\u3067\u4e0d\u53ef\u6b20\u306a\u6982\u5ff5\u3067\u3059\u3002\u5782\u76f4\u6027\u3068\u3044\u3046\u6027\u8cea\u3092\u7406\u89e3\u3057\u3001\u8a08\u7b97\u65b9\u6cd5\u3084\u6d3b\u7528\u4f8b\u3092\u62bc\u3055\u3048\u308b\u3053\u3068\u3067\u3001\u3055\u307e\u3056\u307e\u306a\u5fdc\u7528\u306b\u5bfe\u5fdc\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u7279\u306b3D\u3084\u8a2d\u8a08\u5206\u91ce\u3067\u306f\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304c\u57fa\u790e\u4e2d\u306e\u57fa\u790e\u3068\u306a\u308b\u305f\u3081\u3001\u3057\u3063\u304b\u308a\u3068\u7fd2\u5f97\u3057\u3066\u304a\u304f\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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